10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

The larger of two complementary angles exceeds the smaller by 16 degrees. Find them.

A) \[58{}^\circ ,\,\,32{}^\circ \]

B) \[53{}^\circ ,\,\,37{}^\circ \]

C) \[64{}^\circ ,\,26{}^\circ \]

D) \[29{}^\circ ,\,63{}^\circ \]

Correct Answer: B

Solution :

[b] Let the two angles be x and v where\[x>y.\]

According to the question,

\[x+y=90{}^\circ \] ...(1)

and \[x-y=16{}^\circ \] ...(2)

On adding eqs. (1) and (2), we get

\[2x=106{}^\circ \Rightarrow x=53{}^\circ \]

Substituting the value of x in eq. (1). we get

\[y=90{}^\circ -53{}^\circ =37{}^\circ \]